Final answer:
Without the specific form of f(x) or its derivative f'(x), the question whether f(x) is increasing or decreasing at x = π cannot be answered. However, if we use the context of a similar situation where f(x) was given as x², then f(x) would be increasing at x = π.
Step-by-step explanation:
To determine whether the function f(x) is increasing or decreasing at x = π, one must examine the derivative f'(x) around x = π. If f'(x) is positive at x = π, the function is increasing. If f'(x) is negative, the function is decreasing. The given information doesn't specify the exact form of f(x), so we cannot conclusively answer without knowing f(x) or its derivative. However, if we consider the statement that at x = 3, a function f(x) has a positive value, with a positive slope that is decreasing in magnitude with increasing x, which corresponds to option b. y = x², we can infer that f(x) is increasing at x = 3 because the slope f'(x) = 2x is positive for positive values of x, hence f(x) would also be increasing at x = π assuming the function form is similar.